TSTP Solution File: LCL068-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL068-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tK6R4q3bOh true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:58:02 EDT 2023
% Result : Unsatisfiable 12.32s 2.36s
% Output : Refutation 12.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL068-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tK6R4q3bOh true
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 05:50:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.32/2.36 % Solved by fo/fo3_bce.sh.
% 12.32/2.36 % BCE start: 5
% 12.32/2.36 % BCE eliminated: 0
% 12.32/2.36 % PE start: 5
% 12.32/2.36 logic: neq
% 12.32/2.36 % PE eliminated: 0
% 12.32/2.36 % done 1772 iterations in 1.617s
% 12.32/2.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.32/2.36 % SZS output start Refutation
% 12.32/2.36 thf(a_type, type, a: $i).
% 12.32/2.36 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 12.32/2.36 thf(implies_type, type, implies: $i > $i > $i).
% 12.32/2.36 thf(not_type, type, not: $i > $i).
% 12.32/2.36 thf(cn_59, axiom,
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 ( implies @
% 12.32/2.36 ( implies @ ( not @ X ) @ Z ) @
% 12.32/2.36 ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( implies @ X @ Y ) @ Z ) ) ))).
% 12.32/2.36 thf(zip_derived_cl3, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (not @ X0) @ X1) @
% 12.32/2.36 (implies @ (implies @ X2 @ X1) @
% 12.32/2.36 (implies @ (implies @ X0 @ X2) @ X1))))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_59])).
% 12.32/2.36 thf(condensed_detachment, axiom,
% 12.32/2.36 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 12.32/2.36 ( is_a_theorem @ Y ))).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl23, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ X1 @ X0) @
% 12.32/2.36 (implies @ (implies @ X2 @ X1) @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl69, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 12.32/2.36 thf(prove_cn_2, conjecture,
% 12.32/2.36 (is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ))).
% 12.32/2.36 thf(zf_stmt_0, negated_conjecture,
% 12.32/2.36 (~( is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ) )),
% 12.32/2.36 inference('cnf.neg', [status(esa)], [prove_cn_2])).
% 12.32/2.36 thf(zip_derived_cl4, plain,
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (implies @ (not @ a) @ a) @ a))),
% 12.32/2.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.32/2.36 thf(zip_derived_cl111, plain,
% 12.32/2.36 ((~ (is_a_theorem @ (implies @ a @ a))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl4])).
% 12.32/2.36 thf(cn_19, axiom,
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(cn_37, axiom,
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 ( implies @
% 12.32/2.36 ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 12.32/2.36 thf(zip_derived_cl2, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ (not @ X0) @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_37])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl13, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(zip_derived_cl34, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (not @ (implies @ X2 @ X1)) @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl69, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl108, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl139, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X3))
% 12.32/2.36 | (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl108])).
% 12.32/2.36 thf(zip_derived_cl778, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X3 : $i]:
% 12.32/2.36 (~ (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X3)))
% 12.32/2.36 | (is_a_theorem @ (implies @ X0 @ X3)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl139])).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl823, plain,
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (not @ (not @ a)) @ a))),
% 12.32/2.36 inference('demod', [status(thm)], [zip_derived_cl111, zip_derived_cl800])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl13, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl838, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl13])).
% 12.32/2.36 thf(zip_derived_cl13, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl5, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(zip_derived_cl7, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl32, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 12.32/2.36 thf(zip_derived_cl108, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl137, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 12.32/2.36 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @
% 12.32/2.36 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl108])).
% 12.32/2.36 thf(zip_derived_cl934, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ (not @ X2))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl838, zip_derived_cl137])).
% 12.32/2.36 thf(zip_derived_cl7071, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl934])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl838, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl13])).
% 12.32/2.36 thf(zip_derived_cl7, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl108, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl130, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X2))
% 12.32/2.36 | (is_a_theorem @ (implies @ X1 @ (not @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ (not @ X0)))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl108])).
% 12.32/2.36 thf(zip_derived_cl935, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ X1 @ (not @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X0 @ (not @ X1))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl838, zip_derived_cl130])).
% 12.32/2.36 thf(zip_derived_cl962, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl935])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl108, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl846, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | (is_a_theorem @ (not @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ (not @ X0))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl108])).
% 12.32/2.36 thf(zip_derived_cl975, plain,
% 12.32/2.36 (![X0 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (not @ (not @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X0) @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl962, zip_derived_cl846])).
% 12.32/2.36 thf(zip_derived_cl34, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (not @ (implies @ X2 @ X1)) @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl1093, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (not @ (not @ (implies @ X0 @ X0))))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl975, zip_derived_cl34])).
% 12.32/2.36 thf(zip_derived_cl1, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 12.32/2.36 (implies @ X1 @ X2)))),
% 12.32/2.36 inference('cnf', [status(esa)], [cn_19])).
% 12.32/2.36 thf(zip_derived_cl32, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (is_a_theorem @
% 12.32/2.36 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl51, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 12.32/2.36 | ~ (is_a_theorem @ (not @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl0, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 12.32/2.36 | ~ (is_a_theorem @ X0)
% 12.32/2.36 | (is_a_theorem @ X1))),
% 12.32/2.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 12.32/2.36 thf(zip_derived_cl53, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (not @ X1))
% 12.32/2.36 | (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ X2))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl59, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (not @ X0)) | (is_a_theorem @ (implies @ X0 @ X1)))),
% 12.32/2.36 inference('condensation', [status(thm)], [zip_derived_cl53])).
% 12.32/2.36 thf(zip_derived_cl108, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X1)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl128, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (not @ (not @ X1)))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 12.32/2.36 | (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl108])).
% 12.32/2.36 thf(zip_derived_cl199, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 12.32/2.36 | (is_a_theorem @ X3)
% 12.32/2.36 | ~ (is_a_theorem @
% 12.32/2.36 (not @ (not @ (implies @ (implies @ X2 @ X1) @ X0)))))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 12.32/2.36 thf(zip_derived_cl1804, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ X2)
% 12.32/2.36 | ~ (is_a_theorem @
% 12.32/2.36 (implies @ (implies @ X0 @ (implies @ X1 @ X0)) @ X2)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl1093, zip_derived_cl199])).
% 12.32/2.36 thf(zip_derived_cl69, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 12.32/2.36 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 12.32/2.36 thf(zip_derived_cl1958, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.32/2.36 ( (is_a_theorem @ X0)
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 12.32/2.36 | ~ (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl1804, zip_derived_cl69])).
% 12.32/2.36 thf(zip_derived_cl800, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl1])).
% 12.32/2.36 thf(zip_derived_cl2580, plain,
% 12.32/2.36 (![X0 : $i, X1 : $i]:
% 12.32/2.36 (~ (is_a_theorem @ (implies @ (not @ X0) @ (implies @ X1 @ X0)))
% 12.32/2.36 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 12.32/2.36 inference('sup+', [status(thm)], [zip_derived_cl1958, zip_derived_cl800])).
% 12.32/2.36 thf(zip_derived_cl7150, plain,
% 12.32/2.36 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 12.32/2.36 inference('sup-', [status(thm)], [zip_derived_cl7071, zip_derived_cl2580])).
% 12.32/2.36 thf(zip_derived_cl7188, plain, ($false),
% 12.32/2.36 inference('demod', [status(thm)], [zip_derived_cl823, zip_derived_cl7150])).
% 12.32/2.36
% 12.32/2.36 % SZS output end Refutation
% 12.32/2.36
% 12.32/2.36
% 12.32/2.36 % Terminating...
% 12.77/2.47 % Runner terminated.
% 12.77/2.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------